{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fceee7bf-e204-4f03-a2fa-b3dadbe6140e",
   "metadata": {},
   "source": [
    "Chapter 11\n",
    "# 绘制箭头图\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e1a9ecdb-734d-4b14-bdd8-5a151e1a4337",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6b439152-3b30-4d54-9f40-3564c2dbe927",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义二维列表\n",
    "A = [[0,5],\n",
    "     [3,4],\n",
    "     [5,0]]\n",
    "     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f2b1d16a-b890-4f8d-8224-69dae8b9054c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义可视化函数\n",
    "def draw_vector(vector,RBG): \n",
    "    plt.quiver(0, 0, vector[0], vector[1],angles='xy', \n",
    "               scale_units='xy',scale=1,color = RBG,\n",
    "               zorder = 1e5)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f45a1c19-1b2c-49b0-a0a3-2455bc0a9cc5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "v1 = A[0] # 第一行向量\n",
    "draw_vector(v1,'#FFC000')\n",
    "v2 = A[1] # 第二行向量\n",
    "draw_vector(v2,'#00CC00')\n",
    "v3 = A[2] # 第三行向量\n",
    "draw_vector(v3,'#33A8FF')\n",
    "\n",
    "ax.axvline(x = 0, c = 'k')\n",
    "ax.axhline(y = 0, c = 'k')\n",
    "ax.set_xlabel('x1')\n",
    "ax.set_ylabel('x2')\n",
    "ax.grid()\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower = -0.5, upper = 5)\n",
    "ax.set_ybound(lower = -0.5, upper = 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2f59f09d-fbe3-440f-8d2d-31929d2778e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义可视化函数\n",
    "def draw_vector_3D(vector,RBG): \n",
    "    plt.quiver(0, 0, 0, vector[0], vector[1], vector[2],\n",
    "               arrow_length_ratio=0, color = RBG,\n",
    "               zorder = 1e5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c5d73379-43c5-400f-bcd8-2e4a9d297f65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize = (6,6))\n",
    "ax = fig.add_subplot(111, projection='3d', proj_type = 'ortho')\n",
    "# 第一列向量\n",
    "v_1 = [row[0] for row in A]\n",
    "draw_vector_3D(v_1,'#FF6600')\n",
    "# 第二列向量\n",
    "v_2 = [row[1] for row in A]\n",
    "draw_vector_3D(v_2,'#FFBBFF')\n",
    "\n",
    "ax.set_xlim(0,5)\n",
    "ax.set_ylim(0,5)\n",
    "ax.set_zlim(0,5)\n",
    "ax.set_xlabel('x1')\n",
    "ax.set_ylabel('x2')\n",
    "ax.set_zlabel('x3')\n",
    "ax.view_init(azim = 30, elev = 25)\n",
    "ax.set_box_aspect([1,1,1])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
